Cellular Dynamical Mean Field Approach to Strongly Correlated Systems

Abstract

We propose a cellular version of dynamical-mean field theory which gives a natural generalization of its original single-site construction and is formulated in different sets of variables. We show how non-orthogonality of the tight-binding basis sets enters the problem and prove that the resulting equations lead to manifestly causal self energies.

RevTex, 4 pages, 1 embedded figure

References in corpus (1)

• One-dimensional metallic behavior of the stripe phase in La${}_{2-x}$Sr${}_x$CuO${}_4$

Cited by in corpus (468)

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• Fermi surface expansion above critical temperature in a Hund ferromagnet
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• Accessing thermodynamics from dynamical cluster-embedding approaches
• Nonequilibrium DMFT+CPA for Correlated Disordered Systems
• Cuprates, Manganites, and Cobaltites: Multielectron Approach to the Band Structure
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• Mott transition and magnetism on the anisotropic triangular lattice
• Multi-channel fluctuating field approach to competing instabilities in interacting electronic systems
• Spatial fluctuations of spin and orbital in two-orbital Hubbard model
• Pseudogap in electron-doped cuprates: Strong correlation leading to band splitting
• Orbital Nematic Order and Interplay with Magnetism in the Two-Orbital Hubbard Model
• Ferromagnetic spin correlations in the two-dimensional Hubbard model
• Charge- and pair-density-wave orders in the one-band Hubbard model with dynamical mean field theory
• Spin texture in a bilayer high-temperature cuprate superconductor
• Spontaneous fourfold-symmetry breaking driven by electron-lattice coupling and strong correlations in high-$T_c$ cuprates
• Continuous Mott Transition in a Two-Dimensional Hubbard Model
• Understanding High-Temperature Superconductors with Quantum Cluster Theories
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• Multiple impurities and combined local density approximations in Site-Occupation Embedding Theory
• Finite-temperature phase diagram of (111) nickelate bilayers
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
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• Generalized diagonalization scheme for many-particle systems
• Local vs non-local correlation effects in interacting quantum spin Hall insulators
• Entanglement Spectrum in Cluster Dynamical Mean-Field Theory
• Correlation effects in the electronic structure of Mn${}_4$ molecular magnet
• Josephson lattice model for phase fluctuations of local pairs in copper-oxide superconductors
• Doublon Dynamics of the Hubbard Model on Triangular Lattice
• Neural-network-supported basis optimizer for the configuration interaction problem in quantum many-body clusters: Feasibility study and numerical proof
• Theory of charged impurities in correlated electron materials: Application to muon spectroscopy of high-Tc superconductors
• Transport criticality in triangular lattice Hubbard model
• Cluster dynamical mean-field study of the Hubbard model on a 3D frustrated hyperkagome lattice
• Variational local moment approach: from Kondo effect to Mott transition in correlated electron systems
• Importance of local correlations for the order parameter of high-Tc superconductors
• Entanglement Mean Field Theory and the Curie-Weiss Law
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• The metal insulator transition in cluster dynamical mean field theory: intersite correlation, cluster size, interaction strength, and the location of the transition line
• Fate of Quasiparticle at Mott Transition and Interplay with Lifshitz Transition Studied by Correlator Projection Method
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• Cluster Extended Dynamical Mean Field Approach and Unconventional Superconductivity
• Magnetism and Metallicity in Moiré Transition Metal Dichalcogenides
• Maximum entropy analytic continuation of anomalous self-energies
• Correlated band structure and the ground-state phase diagram in high-Tc cuprates
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• From d- to p-wave pairing in the t-t' Hubbard model at zero temperature
• Paramagnon dispersion and damping in doped Na${}_x$Ca${}_{2-x}$CuO${}_2$Cl${}_2$
• Dynamical mean-field theory for Rényi entanglement entropy and mutual Information in Hubbard Model
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Spin and charge susceptibilities of the two-orbital model within the cluster perturbation theory for Fe-based materials
• Intersite electron correlations in a Hubbard model on inhomogeneous lattices
• A Standard Basis Operator Equation of Motion Impurity Solver for Dynamical Mean Field Theory
• Fine structure of the spectra of the Kondo lattice model: two-site cellular DMFT study
• Optical Response in Excitonic Insulating State: Variational Cluster Approach
• Local electronic nematicity in the one-band Hubbard model
• Extension of dynamical mean-field theory by inclusion of nonlocal two-site correlations with variable distance
• Strong-coupling high-$T_{\mathrm{c}}$ superconductivity in doped correlated band insulators
• Unitary transformations within density matrix embedding approaches: A novel perspective on the self-consistent scheme for electronic structure calculation
• Electron-magnon dynamics triggered by an ultrashort laser pulse: A real-time Dual $GW$ study
• Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders
• Cluster Dynamical Mean-Field Methods for d-wave Superconductors: the Role of Geometry
• Nematic phases and elastoresistivity from a multiorbital non-Fermi liquid
• Dynamical Variational Monte Carlo as a quantum impurity solver: Application to Cluster Dynamical Mean-Field Theory
• An exact solution to the Extended Hubbard Model in 2D for finite size system
• Local bottom-up effective theory of non-local electronic interactions
• Continuous momentum dependence in the dynamical cluster approximation
• Causal optimization method for imaginary-time Green's functions in interacting electron systems
• Slave fermion interpretation of the pseudogap in doped Mott insulators
• Proximity effect in a heterostructure of a high $T_c$ superconductor with a topological insulator from Dynamical mean field theory
• Fermi arcs vs hole pockets: periodization of a cellular two-band model
• Heating and cooling in self-consistent many-body simulations
• Single- and two-particle finite size effects in interacting lattice systems
• Cluster Entanglement Mean Field inspired approach to Criticality in Classical Systems
• Real-space renormalized dynamical mean field theory
• Dynamical symmetry between spin and charge excitations studied by a plaquette mean-field approach in two dimensions
• Composite fermion-boson mapping for fermionic lattice models
• Multi-orbital two-particle self-consistent approach -- strengths and limitations
• Orbital isotropy of magnetic fluctuations in correlated electron materials induced by Hund's exchange coupling
• Full Self-Consistent Projection Operator Approach to Nonlocal Excitations in Solids
• From strong to weak correlations in breathing-mode kagome van der Waals materials: Nb${}_3$(F,Cl,Br,I)${}_8$ as a robust and versatile platform for many-body engineering
• The cumulant Green's functions method for the Hubbard model
• Effect of the Coulomb repulsion and oxygen level on charge distribution and superconductivity in the Emery model for cuprates superconductors
• $d$-wave superconductivity in coupled ladders
• Disorder Enhanced Thermalization in Interacting Many-Particle System
• Suppression of the charge fluctuations by nonlocal correlations close to the Mott transition
• A versatile unitary transformation framework for an optimal bath construction in density-matrix based quantum embedding approaches
• Functional renormalization-group approaches, one-particle (ir)reducible with respect to local Green functions, using the dynamical mean-field theory as a starting point
• Self-energy enhancements in doped Mott insulators
• Finite-momentum and field-induced pairings in orbital-singlet spin-triplet superconductors
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Disentangling real space fluctuations: the diagnostics of metal-insulator transitions beyond single-particle spectral functions
• Cluster dynamical mean field study of intra-unit-cell charge nematicity in hole-doped cuprates
• Reentrance of metal-insulator transition and magnetic competitions on a triangular lattice with second nearest-neighbor hopping
• Loop currents in ladder cuprates: A dynamical mean field theory study
• Microscopic understanding of NMR signals by dynamic mean-field theory for spins
• Anomalous magnetic properties near Mott transition in Kagomé lattice Hubbard model
• Slope-Reversed Mott Transition in Multiorbital Systems
• Dual-space cluster-diagrammatic approach to nonlocal electronic correlations
• Non-perturbative effects of short-range spatial correlations at the two-particle level
• General theory of perturbation of infinite resistor networks
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Superconductivity and the quasiparticle mass enhancement near the CDW critical point using Bethe-Salpeter method: Application to cuprates
• Formation of CuO${}_2$ sublattices by suppression of interlattice correlations in tetragonal CuO
• COM(3p) solution of the 2D Hubbard model: momentum resolved quantities
• Eliminating Orbital Selectivity from the Metal-Insulator Transition by Strong Magnetic Fluctuations
• Nematic Metal and Antiferromagnetic Insulator on Hexagonal Kagome Lattice
• Spin-resolved Mott crossover and entanglement in the half-filled Hubbard model
• Multi-band D-TRILEX approach to materials with strong electronic correlations
• Pole structure of the electronic self-energy with coexistence of Charge order and Superconductivity
• Quantitative Description of Strongly Correlated Materials by Combining Downfolding Techniques and Tensor Networks
• A coefficient average approximation towards Gutzwiller wavefunction formalism